Math 150 For each problem, show all work and explain your reasoning. Summer 2023 1. Suppose a survey is conducted among Winthrop students concerning which fruit they like which finds: Apples Bananas 8 6 15 LO 5 17 7 3 Cantaloupes 4 As a randomized experiment, suppose one survey taker is chosen at random. Compute the probability that the person... (a) likes apples conditioned on liking bananas (b) does not like bananas conditioned on not liking cantaloupes (c) likes cantaloupes conditioned on liking apples or bananas (d) likes exactly two fruits conditioned on liking bananas and cantaloupes 2. Suppose a survey is conducted among Winthrop students which finds: Favorite Sport Football (F) Basketball (B) Hockey (H) Totals Blond (D) 11 9 6 26 Black (K) 14 13 35 Brown (W) 12 15 7 34 Red (R) 4 5 2 11 41 42 23 106 As a randomized experiment, suppose one survey taker is chosen at random. Compute the following probabilities. (a) Pr(W | H) (c) Pr(B' | (DUH)) (b) Pr(F | R') (d) Pr(F | (WUR))